Four students held a bake sale. Anna raised 30. Carla raised 24. There were a total of 25 cookies sold. What was the average amount of money raised per student?
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ISEE Lower Level Quantitative Reasoning Quiz
Practice Tables And Averages in ISEE Lower Level Quantitative Reasoning with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.
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Four students held a bake sale. Anna raised 24.Benraised30. Carla raised 22.Davidraised24. There were a total of 25 cookies sold. What was the average amount of money raised per student?
This quiz focuses on Tables And Averages, giving you a quick way to practice the rules, question types, and explanations that matter most for ISEE Lower Level Quantitative Reasoning.
Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.
Four students held a bake sale. Anna raised 24.Benraised30. Carla raised 22.Davidraised24. There were a total of 25 cookies sold. What was the average amount of money raised per student?
Explanation: The question asks for the average amount of money raised per student. The number of cookies sold is extra information. First, sum the money raised by each student: 24+30 + 22+24 = 100.Then,dividebythenumberofstudents,whichis4.100 ÷ 4 = 25.Theaverageamountraisedwas25.00 per student.
In a basketball game, four players had the following statistics: Player #5 scored 12 points, Player #10 scored 18 points, Player #23 scored 6 points, and Player #32 scored 16 points. What was the average number of points scored by these four players?
Explanation: The question asks for the average number of points, so the jersey numbers (#5, #10, #23, #32) are irrelevant. To find the average, add the points scored: 12 + 18 + 6 + 16 = 52. Then, divide by the number of players, which is 4. 52 ÷ 4 = 13. The average was 13 points per player.
Maria recorded the number of pages she read each day for five days: Monday 20 pages, Tuesday 15 pages, Wednesday 25 pages, Thursday 18 pages, and Friday 22 pages. Her brother, Leo, read 100 pages total over the same five days. What was the average number of pages Maria read per day?
Explanation: To find Maria's average, sum the number of pages she read and divide by the number of days. Maria's total pages: 20 + 15 + 25 + 18 + 22 = 100 pages. She read for 5 days. Her average is 100 ÷ 5 = 20 pages per day. The information about her brother Leo is not needed.
A survey of four families found the following information. The Jones family has 3 children and 2 pets. The Kim family has 1 child and 3 pets. The Singh family has 2 children and 1 pet. The Williams family has 2 children and 2 pets. What is the average number of pets per family?
Explanation: The question asks for the average number of pets, so the number of children is not needed. Sum the number of pets: 2 + 3 + 1 + 2 = 8 pets. There are 4 families. Divide the total number of pets by the number of families: 8 ÷ 4 = 2. The average is 2 pets per family.
The number of cars that passed a street corner was counted during three different hours. From 8 AM to 9 AM, 150 cars passed. From 9 AM to 10 AM, 200 cars passed. From 10 AM to 11 AM, 160 cars passed. During this time, 50 pedestrians also crossed the street. What was the average number of cars that passed per hour?
Explanation: When you encounter average problems, you need to identify what's being averaged and what information is relevant. This question asks for the average number of cars per hour, so focus only on the car data. To find an average, you add up all the values and divide by the number of time periods. Here, you have three one-hour periods with car counts of 150, 200, and 160. The total number of cars is 150+200+160=510 cars. Since this happened over 3 hours, the average is 510÷3=170 cars per hour. Looking at the wrong answers: Choice A (160 cars) might tempt you if you accidentally used only the third hour's data or tried to find some other pattern in the numbers. Choice B (180 cars) could result from a calculation error, perhaps mixing up the addition or division steps. Choice D (510 cars) is the total number of cars, not the average—this is a common trap where students stop after finding the sum and forget to divide by the number of time periods. Notice that the 50 pedestrians are completely irrelevant to this problem since you're only asked about cars per hour. This is a red herring designed to test whether you can identify what information matters. Strategy tip: In average problems, always double-check that you're dividing the correct total by the correct number of items or time periods. Write out "total ÷ count" to avoid the common mistake of reporting the sum instead of the average.
A survey asked 30 students to name their favorite sport. 12 students chose soccer, 10 chose basketball, and 8 chose baseball. What was the average number of students who chose each of these three sports?
Explanation: When you encounter questions about averages, remember that the average (or mean) is the total of all values divided by the number of values you're averaging. To find the average number of students who chose each sport, you need to add up all the students who chose these three sports, then divide by 3 (since there are three sports). Let's calculate: 12 students chose soccer + 10 chose basketball + 8 chose baseball = 30 total students. Now divide by the number of sports: 30÷3=10 students per sport on average. Looking at the wrong answers: Choice A (8 students) is simply the number who chose baseball - this represents just one sport, not the average across all three. Choice B (12 students) is the number who chose soccer, again just one individual sport rather than the average. Choice D (30 students) is the total number of students surveyed, but the question asks for the average per sport, not the total. The trap here is confusing individual values with the calculated average, or mixing up the total with the average. Study tip: For average problems, always identify what you're averaging (in this case, the number of students per sport), add up all the relevant values, and divide by how many items you're averaging. Don't be tempted to pick numbers that appear in the problem - the average is usually a calculated result, not a given value.
A pet store has three fish tanks. Tank 1 holds 20 gallons of water and has 10 fish. Tank 2 holds 30 gallons and has 15 fish. Tank 3 holds 25 gallons and has 11 fish. What is the average number of fish per tank?
Explanation: The question asks for the average number of fish per tank. The volume of water in each tank is extra information. Sum the number of fish in each tank: 10 + 15 + 11 = 36 fish. There are 3 tanks. Divide the total number of fish by the number of tanks: 36 ÷ 3 = 12. The average is 12 fish per tank.
Four trees in a park have different characteristics. Tree 1 is 30 feet tall and is 15 years old. Tree 2 is 40 feet tall and is 20 years old. Tree 3 is 35 feet tall and is 18 years old. Tree 4 is 35 feet tall and is 17 years old. What is the average height of these four trees?
Explanation: When you encounter an average problem, you need to add up all the values and divide by the number of items. This question gives you extra information about the trees' ages, but since it only asks for average height, you can ignore that data completely. To find the average height, add up all four tree heights: 30 + 40 + 35 + 35 = 140 feet. Then divide by the number of trees: 140÷4=35 feet. Let's examine why the other answers are incorrect. Choice A (17.5 feet) represents the average age of the trees, not their height. If you accidentally used the age data (15 + 20 + 18 + 17 = 70, then 70 ÷ 4 = 17.5), you'd get this wrong answer. Choice B (70 feet) is the sum of all the ages without dividing by 4 - this shows you found a total but forgot the final division step. Choice C (37.5 feet) might result from a calculation error, perhaps averaging only some of the heights or making an arithmetic mistake when adding or dividing. The correct answer is D (35 feet). Study tip: In average problems, identify exactly what quantity you're being asked to average, then ignore any irrelevant data. Always remember that average equals sum divided by count. Also, do a quick reasonableness check - your average should fall somewhere between the highest and lowest values in your data set.
A phone company logged the length of four long-distance calls made by a customer. The calls lasted 12 minutes, 18 minutes, 10 minutes, and 20 minutes. The cost of the calls was 1.20,1.80, 1.00,and2.00. What was the average length of a call?
Explanation: When you see a question asking for an "average," you need to find the mean by adding all the values together and dividing by the number of items. Notice that this question gives you information about both call lengths and costs, but only asks about the average length - so you can ignore the cost information entirely. To find the average length of the four calls, add up all the call times: 12 + 18 + 10 + 20 = 60 minutes total. Then divide by the number of calls: 460=15 minutes per call on average. Let's examine why each wrong answer choice appears: Choice (A) 12 minutes is simply the length of the first call listed - this is a trap for students who might think the first value given is somehow special. Choice (B) 60 minutes is the total time of all calls combined, which you'd get if you forgot to divide by the number of calls. Choice (C) 16 minutes might result from a calculation error, perhaps incorrectly adding the call lengths or dividing incorrectly. The correct answer is (D) 15 minutes. Remember this key strategy for average problems: always identify exactly what you're averaging (here, call lengths, not costs), add up only those relevant values, and divide by the count. Questions often include extra information to distract you - stay focused on what's actually being asked.
At a track meet, four runners competed in the 100-meter dash. Their times were 12 seconds, 14 seconds, 11 seconds, and 13 seconds. Each runner wore a different lane number: 2, 3, 4, and 5. What was the average running time for these athletes?
Explanation: This problem tests your understanding of finding the average (also called the mean) of a set of numbers. When you see a question asking for an average, remember that you need to add up all the values and divide by how many values you have. To find the average running time, you need to add all four times together and divide by 4 (since there are 4 runners). The times are 12, 14, 11, and 13 seconds. Adding these: 12+14+11+13=50 seconds total. Now divide by the number of runners: 50÷4=12.5 seconds. This confirms that D) 12.5 seconds is correct. Let's examine why the other answers are wrong. Choice A) 3.5 seconds represents a common calculation error where students might subtract instead of add, or divide incorrectly. Choice B) 50 seconds is the total sum of all times, but this is before dividing by 4 to get the average - a frequent mistake where students stop halfway through the calculation. Choice C) 14 seconds is simply one of the individual running times, showing confusion between finding an average versus identifying a single value from the data set. The key information about lane numbers (2, 3, 4, and 5) is irrelevant to solving this problem - it's included to test whether you can identify what information is actually needed. On quantitative reasoning questions, always focus on the numbers that directly relate to what's being asked, and remember that average equals sum divided by count.
A family of four went out for dinner. The meals they ordered cost 12,16, 14,and18. They also bought four drinks that cost $3 each. What was the average cost of a meal, not including the cost of the drinks?
Explanation: The question asks for the average cost of a meal, so the cost of the drinks should be ignored. Sum the costs of the four meals: 12+16 + 14+18 = 60.Thereare4meals.Dividethetotalcostbythenumberofmeals:60 ÷ 4 = 15.Theaveragecostofamealwas15.00.
The weights of four dogs at a kennel are 25 pounds, 40 pounds, 32 pounds, and 23 pounds. Their ages are 2, 5, 3, and 2 years old. What is the average weight of the dogs?
Explanation: This question tests your understanding of finding the average (or mean) of a set of numbers. When you see "average," remember that you need to add up all the values and divide by how many values you have. To find the average weight of the dogs, you only need the weight information: 25 pounds, 40 pounds, 32 pounds, and 23 pounds. The ages (2, 5, 3, and 2 years) are extra information included to test whether you can identify what's relevant to the question. First, add up all the weights: 25+40+32+23=120 pounds total. Next, divide by the number of dogs: 120÷4=30 pounds. Now let's examine why the other answers are incorrect. Choice A (3 pounds) might result from accidentally using the age data instead of weights, or from a calculation error. Choice B (120 pounds) is the total weight of all dogs combined—this is what you get before dividing by 4. This is a common trap since 120 is an important step in solving the problem, but it's not the final answer. Choice C (40 pounds) is simply the weight of one individual dog, not the average of all four. Remember that average problems often include extra information you don't need. Always identify exactly what numbers the question is asking you to average, then follow the two-step process: add them up, then divide by the count.
A small bookstore's sales for one week were: Monday 50,Tuesday45, Wednesday 55,Thursday52, Friday 68,Saturday100, and Sunday $90. What was the average daily sales amount for the weekdays only (Monday through Friday)?
Explanation: First, identify the sales for the weekdays: 50,45, 55,52, and 68.Next,sumtheseamounts:50 + 45+55 + 52+68 = 270.Finally,dividethesumbythenumberofweekdays,whichis5.270 ÷ 5 = 54.Theaveragedailysalesforweekdayswas54.00.
A student's scores on four quizzes were 90, 80, 70, and 100. The student spent 20, 15, 25, and 20 minutes studying for each quiz, respectively. What was the student's average quiz score?
Explanation: The question asks for the average quiz score. The time spent studying is extra information. Sum the quiz scores: 90 + 80 + 70 + 100 = 340. There were 4 quizzes. Divide the total score by the number of quizzes: 340 ÷ 4 = 85. The average quiz score was 85.
A gardener is tracking the height of her tomato plants. After three weeks, Plant A is 10 inches, Plant B is 14 inches, and Plant C is 12 inches tall. In the first week, the plants were all 4 inches tall. What is the average height of the plants after three weeks?
Explanation: The question asks for the average height after three weeks. The height in the first week is irrelevant information. Sum the heights at three weeks: 10 + 14 + 12 = 36 inches. There are 3 plants. Divide the total height by the number of plants: 36 ÷ 3 = 12 inches. The average height is 12 inches.
Talia played a video game that had five rounds. Her scores were: Round 1, 50 points; Round 2, 70 points; Round 3, 60 points; Round 4, 80 points; Round 5, 50 points. The total time she played was 25 minutes. What was her average score for the first three rounds?
Explanation: When you see "average" in a math problem, you need to add up all the values and divide by how many values there are. This question asks specifically for the average of the first three rounds, so ignore the extra information about rounds 4 and 5, and the total playing time. To find the average score for rounds 1, 2, and 3, add those scores together: 50 + 70 + 60 = 180 points. Then divide by the number of rounds (3): 180÷3=60 points. So the average is 60 points. Looking at the wrong answers: Choice A (50 points) might tempt you if you mistakenly think the average equals the lowest score from the three rounds, but that's not how averages work. Choice B (62 points) could result from a calculation error, perhaps if you accidentally included one of the other scores or made an arithmetic mistake. Choice D (180 points) is the total of the three scores before dividing by 3 - this is a common trap because some students forget the division step of finding an average. Remember that "average" always means "total divided by count." When a question asks for the average of specific items in a longer list, focus only on those items and ignore the rest. Also watch out for extra information that isn't needed - here, the round 4 and 5 scores and the playing time were just distractors.
Over three days, a delivery truck traveled 50 miles, 65 miles, and 65 miles. The number of packages delivered each day was 30, 40, and 35. What was the average number of packages delivered per day?
Explanation: The question asks for the average number of packages delivered per day. The miles traveled are irrelevant. Sum the number of packages delivered: 30 + 40 + 35 = 105 packages. The deliveries were made over 3 days. Divide the total packages by the number of days: 105 ÷ 3 = 35. The average was 35 packages per day.
A scientist measured the daily high temperatures for a city over four days. The readings were 62°F, 68°F, 71°F, and 63°F. The wind speeds for those days were 5, 10, 8, and 7 miles per hour. What was the average daily high temperature for those four days?
Explanation: The question asks for the average temperature, so the wind speed data is extra information. First, sum the temperatures: 62 + 68 + 71 + 63 = 264. Then, divide by the number of days, which is 4. 264 ÷ 4 = 66. The average daily high temperature was 66°F.
Jamal has test scores from three different subjects. His math scores are 85 and 95. His history score is 88. His science scores are 82, 90, and 88. What is the average of Jamal's science scores?
Explanation: The question specifically asks for the average of the science scores. The math and history scores are not needed. Sum the science scores: 82 + 90 + 88 = 260. There are 3 science scores. Divide the sum by 3: 260 ÷ 3 = 86.67, which rounds to 87. The average science score is 87.
The ages of four cousins are 8, 10, 11, and 15. Their house numbers on their respective streets are 20, 32, 18, and 30. What is the average age of the cousins?
Explanation: To find the average age, sum the ages and divide by the number of cousins. The sum of the ages is 8 + 10 + 11 + 15 = 44. The number of cousins is 4. So, the average age is 44 ÷ 4 = 11 years. The house numbers are extra information not needed to solve the problem.